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If the rate of reaction between A and B ...

If the rate of reaction between A and B is given by rate `=k[A][B]^(2)`, then the reaction is

A

first order in A

B

second order in B

C

third order overall

D

none of the above

Text Solution

AI Generated Solution

The correct Answer is:
To determine the order of the reaction given the rate law, we can follow these steps: ### Step 1: Identify the Rate Law The rate of the reaction is given by the equation: \[ \text{Rate} = k[A][B]^2 \] where \( k \) is the rate constant, \( [A] \) is the concentration of reactant A, and \( [B] \) is the concentration of reactant B. ### Step 2: Determine the Order with Respect to Each Reactant - The order of the reaction with respect to a reactant is defined by the exponent of its concentration in the rate law. - For reactant A, the exponent is 1 (since it is \( [A]^1 \)), which means the reaction is **first order** in A. - For reactant B, the exponent is 2 (since it is \( [B]^2 \)), which means the reaction is **second order** in B. ### Step 3: Calculate the Overall Order of the Reaction The overall order of the reaction is the sum of the orders with respect to each reactant: \[ \text{Overall Order} = \text{Order in A} + \text{Order in B} = 1 + 2 = 3 \] Thus, the overall order of the reaction is **third order**. ### Conclusion Based on the analysis: - The reaction is **first order in A**. - The reaction is **second order in B**. - The overall order of the reaction is **third order**. ### Final Answer The correct option is that the reaction is **third order overall**. ---
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